Journal of Optimization Theory and Applications

, Volume 83, Issue 1, pp 63–81

Lagrange Multipliers and saddle points in multiobjective programming

  • Z. F. Li
  • S. Y. Wang
Contributed Papers

DOI: 10.1007/BF02191762

Cite this article as:
Li, Z.F. & Wang, S.Y. J Optim Theory Appl (1994) 83: 63. doi:10.1007/BF02191762


In this paper, we present several conditions for the existence of a Lagrange multiplier or a weak saddle point in multiobjective optimization. Relations between a Lagrange multiplier and a weak saddle point are established. A sufficient condition is also given for the equivalence of the Benson proper efficiency and the Borwein proper efficiency.

Key Words

Multiobjective programmingLagrange multipliersweak saddle points

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Z. F. Li
    • 1
  • S. Y. Wang
    • 2
  1. 1.Mathematics DepartmentUniversity of Inner MongoliaHohhot, Inner MongoliaChina
  2. 2.Institute of Systems ScienceAcademic SinicaBeijingChina